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Mueller, J., Kyotani, A. and Matuttis, H.-G. (2020) Towards a Micromechanical Understanding of Landslides—Aiming at a Combination of Finite and Discrete Elements with Minimal Number of Degrees of Freedom. Journal of Applied Mathematics and Physics, 8, 1779-1798.
https://doi.org/10.4236/jamp.2020.89134

has been cited by the following article:

• TITLE: Improved Grid Relaxation with Zero-Order Integrators

  AUTHORS: Jan Mueller, Hans-Georg Matuttis

  KEYWORDS: Zero-Order Solver, Equilibration, Grid Generation, Fluid Mechanics

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.9 No.6, June 17, 2021

  ABSTRACT: In this research, we have improved a relaxation method for triangular meshes intended for finite element fluid simulations which contain discrete element particles. The triangle edges are treated as springs which relax their lengths towards a “better” force equilibrium where the triangles are closer to equilateral shape. The actual kernel is an improved zero order integrator which is able to follow reconfigurations of the particles faster than earlier methods. The improved relaxation allows larger timesteps in the flow simulation and leads to more stable, faster mesh reconfigurations for fast moving particles in the flow. Additionally, this demonstrates how integrators of the same order zero can nevertheless have different convergence speeds towards equilibrium